If 26.97 ÷ 6.3 is written in long division form as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?

Answers

Answer 1

Answer:

The decimal point should be placed between 9 and 7

i.e

269.70

Step-by-step explanation:

In Long division method, the formula is given as:

Dividend ÷ Divisor = Quotient

We were given

26.97 ÷ 6.3

26.97 = Dividend

6.3 = Divisor

We are told in the question that:

as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number,

This means, since the Divisor 6.3 is made into an whole number = 63

It means 6.3 was multiplied by 10

6.3 × 10 = 63

In Long division, whatever rule is applied to the Divisor must be applied to the Dividend.

Since 6.3 was multiplied by 10 = 63(whole number), then the dividend must be multiplied by 10

Dividend = 26.97 × 10 = 269.7

Therefore, the place where should the decimal point be placed in the dividend is between 9 and 7

= 269.70

Answer 2

Answer: Between the 9 and the 7


Related Questions

Help!!(thank you so much)

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Or just subtract

9.884 * 10^6 - 1.009 * 10^7=

− 2.05999999 × 10^5

Rounded up is:

− 2.06× 10^5

(❁´◡`❁)

If m and n are off then is mn even?

Answers

Answer:

No, mn is not even if m and n are odd.

If m and n are odd, then mn is odd as well.

==================================================

Proof:

If m is odd, then it is in the form m = 2p+1, where p is some integer.

So if p = 0, then m = 1. If p = 1, then m = 3, and so on.

Similarly, if n is odd then n = 2q+1 for some integer q.

Multiply out m and n using the distribution rule

m*n = (2p+1)*(2q+1)

m*n = 2p(2q+1) + 1(2q+1)

m*n = 4pq+2p+2q+1

m*n = 2( 2pq+p+q) + 1

m*n = 2r + 1

note how I replaced the "2pq+p+q" portion with r. So I let r = 2pq+p+q, which is an integer.

The result 2r+1 is some other odd number as it fits the form 2*(integer)+1

Therefore, multiplying any two odd numbers will result in some other odd number.

------------------------

Examples:

3*5 = 157*9 = 6311*15 = 1659*3 = 27

So there is no way to have m*n be even if both m and n are odd.

The general rules are as follows

odd * odd = oddeven * odd = eveneven * even = even

The proof of the other two cases would follow a similar line of reasoning as shown above.

Which inequality is equivalent to the statement below?
The opposite of n is between -3 and 0.
А
-3 00
3<-n<0
с
-3 D
3

Answers

Answer:

A

Step-by-step explanation:

The opposite of a number is simply the number multiplied by -1 so the opposite of n is -n. "Between -3 and 0" tells us that the inequality is -3 < -n < 0.

11 + x4 + 13x3 + 3 – 13.75 – 10.x² + 4x2 - 4x - 8x4

Answers

Answer:

-7x^4+13x³-6x²-4x+0.25

Step-by-step explanation:

Do you just have to combine like terms?

-7x^4+13x³-6x²-4x+0.25 (assuming I’m reading your exponent notation correctly)

given the indicated terms of an arithmetic sequence a3=1, a33=22 find the first term

Answers

Answer:

The first term is a = 0.4.

Step-by-step explanation:

We are given the indicated terms of an arithmetic sequence; [tex]a_3[/tex] = 1, [tex]a_3_3[/tex] = 22.

As we know that the nth term of the A.P. is given by;

[tex]a_n=a+(n-1)d[/tex]

where, a = first term and d = common difference

Now, the third term of AP is given as 1, this means;

[tex]a_3=a+(3-1)d[/tex]

[tex]a+2d=1[/tex]

a = 1 - 2d  --------------- [equation 1}

Also, the 33rd term of AP is given as 22, this means;

[tex]a_3_3=a+(33-1)d[/tex]

[tex]a+32d=22[/tex]

[tex]1-2d+32d=22[/tex]     {using equation 1}

[tex]30d=21[/tex]

[tex]d=\frac{21}{30}[/tex]

d = 0.7

Putting the value of d in equation 1 we get;

[tex]a=1-(2 \times 0.7)[/tex]

a = 1 - 1.4 = -0.4

Hence, the first term of an AP is -0.4.

The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x. Which equation represents the graph?

1. y = 10 – x

2. y = x – 10

3. y = –x – 10

4. y = 10 + x



PLS help!!!

Answers

Answer:

1. y = 10 - x

Step-by-step explanation:

Because he starts off with 10 dollars, and x is the amount he spends on an item, y is showing the change that he would get from paying with a 10 dollar bill, so it's what's left over from that 10 dollars.

Answer: the answer is A I just took the quiz

Step-by-step explanation:

Help will 1,3,5,6!!!!!!!!!!

Answers

Problem 1

To convert from gallons to cups, we multiply by 16 since 1 gallon = 16 cups

Therefore, 4 gallons = 64 cups

==================================================

Problem 3

1 hour = 60 minutes

4 hours = 240 minutes (multiply both sides by 4)

==================================================

Problem 5

100 cm = 1 meter

1 cm = 0.01 meter (divide both sides by 100)

53 cm = 0.53 meter (multiply both sides by 53)

==================================================

Problem 6

1 foot = 12 inches

3 feet = 36 inches (multiply both sides by 3)

1 yard = 3 feet

1 yard = 36 inches

2 yards = 72 inches (multiply both sides by 2)

Four students each wrote an equation. Which two students wrote equations that have no solution?

Answers

Answer:

Beto and Mark

Step-by-step explanation:

To know which of the equations written by the four students has no solution, let's try to solve each.

Beto's equation:

[tex] 3m = 3m + 5 [/tex]

[tex] 3m - 3m = 3m + 5 - 3m[/tex]

[tex] 0 = 5 [/tex] (This is incorrect. 0 ≠ 5. This is not a solution)

Lila's Equation:

[tex] 9r + 4 = 4 + 9r [/tex]

[tex] 9r + 4 - 9r = 4 + 9r - 9r [/tex]

[tex] 4 = 4 [/tex] (this is correct)

Mark's equation:

[tex] 6 - n = -n + 2 [/tex]

[tex] 6 - n + n = -n + 2 + n [/tex]

[tex] 6 = 2 [/tex] (incorrect. 6 ≠ 2)

Wanda's Equation:

[tex] 8u - 2 = 2u + 8 [/tex]

[tex] 8u - 2 + 2 = 2u + 8 + 2 [/tex]

[tex] 8u = 2u + 10 [/tex]

[tex] 8u - 2u = 2u + 10 - 2u [/tex]

[tex] 6u = 10 [/tex]

[tex] \frac{6u}{6} = \frac{10}{6} [/tex]

[tex] u = \frac{5}{3} [/tex]

If you plug in the value of u into the original equation, the equation would be balanced. Therefore, this is a solution.

Beto and Mark we equations that have no solution.

put it in standard form. 4x² + 3x³ - 6x

Answers

Answer:

3x^3+4x^2-6x

Step-by-step explanation:

D
Find the perimeter Of a
regular pentagon with sides 6cm
20cm
26cm
30cm
36cm
42 cm

Answers

Answer: To find the perimeter of a shape, we need to add the value of all of the sides. Here, we are given the values:

6cm

20cm

26cm

30cm

36cm

42 cm

All of these added together are equal to 160, so the perimeter of the shape is 160cm.

Answer:

perimeter = 160 cm

Step-by-step explanation:

perimeter = add all sides

perimeter = 6 + 20 + 26 + 30 + 36 + 42

perimeter = 160 cm

The shape of a dome can be modeled by the equation 2 h d =− + 2 100 where h is the height (in feet) of the dome from the floor d feet from its center. How far from the center of the dome is the height 50 feet?

Answers

Answer:

The distance from the centre of the dome is 2000 feet

Step-by-step explanation:

We have an equation representing the distance from the centre of the dome.

We can now make the subject of the formula.

d = 2100 -2(h)

We are asked to find the value of d when the value of h is = 50 feet.

To do this, we simply plug in the value for h into the equation and solve the equation.

d = 2100 - 2(50)

d = 2100 -100

d = 2000 feet.

Hence the distance from the centre of the dome is 2000 feet

Combine like terms to create an equivalent expression. -(4)/(7)p+(-(2)/(7)p)+(1)/(7)

Answers

Answer:

-6/7p + 1/7

Step-by-step explanation:

Like Terms: terms that have the same variables and powers

In this equation the like terms are -4/7p and -2/7p

First solve that, which will be -6/7p + 1/7

You have to leave the 1/7 alone because there aren't any more numbers with no variables.

Answer:

Step-by-step explanation:

You can only combine terms that are the same, which means you can only combine the fractions with p attached. A + and - make a -. The second fraction changes to negative or subtraction which ever way you want to say it.  -4 - 2 = -6 and the bottom number always stays the same  and you keep the letter attached. You can not combine 1/7 because it does not have a p attached. You would leave it the same. [tex]\frac{-6}{7}p +\frac{1}{7}[/tex]

a two digit number is chosen at random. funny the probability that the number is less than 20​

Answers

Answer:

2/20

probability =1/10

Answer:

[tex]\Large \boxed{\frac{1}{10} }[/tex]

Step-by-step explanation:

The two-digit numbers are :

10.11.12.13.14.15.16.17.18.19.20.21.22.23.24.25.26.27.28.29.30.31.32.33.34.35.36.37.38.39.40.41.42.43.44.45.46.47.48.49.50.51.52.53.54.55.56.57.58.59.60.61.62.63.64.65.66.67.68.69.70.71.72.73.74.75.76.77.78.79.80.81.82.83.84.85.86.87.88.89.90.91.92.93.94.95.96.97.98.99.

There are 90 two-digit numbers.

The two-digit numbers less than 20 are :

10.11.12.13.14.15.16.17.18.19

There are 9 two-digit numbers that are less than 20.

P(two-digit number less than 20) = [tex]\frac{9}{90} =\frac{1}{10}[/tex]

what is used to draw and measure angle​

Answers

Answer: measuring an angle can be done using a protractor and drawing an angle can be done with help of a scale and a compass or directly by a protractor

Step-by-step explanation:

Hope this helps you!!

Answer:

A protractor

Step-by-step explanation:

Just an easy answer!

kindly help me with this ​

Answers

Answer:

Rani's

Step-by-step explanation:

● Rani's shape is a regular hexagon

● The sides of a regular hexagon are the same length

Anita's shape has the longest side.

reflection across y = 1
C(-1, 1), D(3, 4), E(4,0)

(Honors Geometry- 30 points!!!)

Answers

Answer:

C) (-1, 1)

D) (3, -2)

E) (4, 2)

Step-by-step explanation:

Anna can do a job in 4 days. After she has worked for 1 day, she is joined by Sylvia, and it takes them 2 days working together to finish the job. How long would it have taken Sylvia to do the whole job by herself?

Answers

Answer: 8 days.

Step-by-step explanation:

Given that Anna can do a job in 4 days. After she has worked for 1 day, she is joined by Sylvia, and it takes them 2 days working together to finish the job.

Since Anna has already worked for 1 day, she would have worked the remaining days for 3 days. But she is joined by Sylvia, and it takes them 2 days working together to finish the job.

That is,

1/3 + 1/S = 1/2

Where S is the number of days Sylvia to do the job being completed in 2 days.

1/S = 1/2 - 1/3

1/S = (3 - 2)/6

1/S = 1/6

S = 6

The job Anna would have done for 3 days, will take 6 days for Sylvia.

The 1 days used by Anna will be 2 days for Sylvia.

Therefore, the total days that will take Sylvia to do the whole job by herself will be 2 + 6 = 8 days

express each number in scientific notitatio 43,000= 0.0072= 0.0000901=

Answers

Answer:

43,000: 4.3×10^4

0.0072: 7.2×10^-3

0.0000901: 9.01×10^-5

Step-by-step explanation:

scientific notation: a×10^b, where should be 0<a<10

Step 1. Count the zeros

Step 2. Look at the number left, and determine whether or not it fits in the range of [a]. If not, we divide or multiply 10 to get it fit

------------------------

43,000: 4.3×10^4 (since 43 does not fit, we divide by 10 to get it fit)

0.0072: 7.2×10^-3 (since 0.72 does not fit, we multiply 10 to get it fit)

0.0000901: 9.01×10^-5 (since 0.901 does not fit, we multiply 10 to get it fit)

Hope this helps!! :)

Please let me know if you have any question

A pizza restaurant offers 6 toppings to choose from for their pizzas, and no toppings is considered a plain cheese pizza. How many different pizza topping combinations are possible if the maximum number of allowed toppings is 3 and toppings can't repeat

Answers

Answer: 120

Step-by-step explanation:

Given : Total toppings = 6

Number of toppings needs to be selected = 3

Also if repetition of toppings is not allowed , then the number of combinations are possible = 6 x 5 x 4   [First we choose 1 out of 6 , then 1 out of remaining 5 and then 1 out of 4,then multiplying the choices for 3 toppings]

=  120

Hence, the number of different pizza topping combinations are possible if the maximum number of allowed toppings is 3 is 120 .

I NEED HELP FAST PLEASE

Answers

Please Give me Brainliest, Thank You

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50. Let SSS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario?

Answers

Answer:

3.25+5.50S≤30

and he can aford 16 pancakes

Step-by-step explanation:

i got the question right

The inequality that describes the situation is of:

[tex]3.25 + 5.5S \leq 30[/tex]

------------------------

The first step in building the inequality is modelling Benjamin's spendings.He buys a chocolate milk that costs $3.25, plus S stacks of pancakes, each at $5.50. Thus, in total, his spendings are of:

[tex]T = 3.25 + 5.5S[/tex]

He wants the bill to be of at most $30, that is, his spending has to be at most $30, thus:

[tex]T \leq 30[/tex]

[tex]3.25 + 5.5S \leq 30[/tex]

Which is the inequality that models the situation.

A similar problem is given at https://brainly.com/question/17495861

a number raised to the fourth power

Answers

Answer:

a number raised to the power fourth is given in the above picture. where, X is any number..

Equivalent expressions for 24x - 12

Answers

Answer:

(3x−4)(8x−3)

Step-by-step explanation:

The three incoming currents at a
node in an electrical circuit
measure 0.38 amps, 0.75 amps,
and 0.29 amps. Two of the three
outgoing currents measure 0.48
amps and 0.6 amps. Find the
measure of the third outgoing
Current


PLS HELP

Answers

Answer:

Measure of the third outgoing current will be 0.34 ampere.

Step-by-step explanation:

Kirchhoff's Current Law states that total current entering a circuit's junction is exactly equal to the total current leaving the same junction.

By this rule,

Sum of input three currents = Sum of three outgoing currents

0.38 + 0.75 + 0.29 = 0.48 + 0.6 + i

1.42 = 1.08 + i

i = 0.34

Therefore, measure of the third outgoing current will be 0.34 ampere.

Ummm are irrational numbers real numbers?

Answers

Answer:

Yes.

Explanation:

Irrational numbers are real numbers, they just aren't rational.

For example:

3.55555... and 4.31524363....

Answer:

A real number that can NOT be made by dividing two integers (an integer has no fractional part). "Irrational" means "no ratio", so it isn't a rational number. ... Example: π (the famous number "pi") is an irrational number, as it can not be made by dividing two integers.

Step-by-step explanation:

hope this helps

Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation that shows how many months , m , it will take for Jason weigh the same as Gerardo


Answers

Answer:

5 months

Step-by-step explanation:

Jason's original weight = 120 pounds

Let the no. of months be m

If he gains 10 pounds in each moth , then his weight in m months will be = 10m

His total weight will be= 120+10m  -----(1)

Gerardo's original weight = 150 pounds

If he gains 4 pounds in each month , then his weight in m months will me =4m

His total weight will be = 150+4m-----(2)

Equating (1) ans(2)

120+10m=150+4m

=>10m-4m=150-120

=>6m=30

=>m=[tex]\frac{30}{6}[/tex]

=>m=5

It will take 5 months for Jason to weigh the same as Gerardo

The retail price of a smartphone is $600. You purchase the phone by making 24 equal monthly payments.
The amount of each monthly payment is $|

Answers

you have to divide 600 dollars by 24 months which equals $25 so you have to pay $25 dollars every month for 2 years.

(if you want to check you can multiply 25x24)

The answer: $25

Mr. Salazar assigns the same number of homework questions each school day. The ratio table below shows the total
number of homework questions assigned after a certain number of school days.
Homework
Number of days Total number of questions
5
40
8
64
11
88
14
?
After 14 days, how many total homework questions have been assigned?
102
112
152
192
yes

Answers

Answer:

112

Step-by-step explanation:

Everything is multiplied by 8

Answer:112

Step-by-step explanation:

Took quiz

need help dont know how to find the coordinates of D and how to find value of Y

Answers

Answer:

Y°= 115

D = (3,1)

Step-by-step explanation:

For y, your just looking through the vertex. essentially if its 115 on one side it's going to be the same on the other because it all has to be equal, and that's how vertex's work.

for D. Read the instructions and make a square

x goes first then y

Three consecutive numbers are such that when they are taken in increasing order and multiplied by 2,3and 4 respectively, they add up to 74. Find these numbers.

Answers

Answer:

7 , 8 , 9

Step-by-step explanation:

Assume three consecutive number are,

x , (x+1) , (x+2)

Multiplied by 2 ,3 and 4 respectively

2x , 3(x + 1) , 4(x + 2)

Sum of all = 74

So,

2x + 3(x + 1) + 4(x + 2) = 74

2x + 3x + 3 + 4x + 8 = 74

9x + 11 = 74

9x = 63

x = 7

So,

x , (x+1) , (x+2)

7 , (7+1) , (7+2)

7 , 8 , 9

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